Question

2, 20, .... 110, 182
what will come explain​

Answer 1

2 , 20 , .... , 110 , 182

2 + 18 = 20

20 + 36 = 56

56 + 54 = 110

110 + 72 = 182

Here we have to add the multiples of 18

to each number

Hence the series is 2 , 20 , 56 , 110 , 182

Answer 2

Answer:

The correct answer is 56.

Step-by-step explanation:

If the difference between every pair of consecutive terms in a sequence exists exactly, this exists named the common difference.

Common difference =  first term - second term

Given:

the series 2, 20, ...., 110, 182

To find:

the value of the missing term.

Step 1

2, 20, ...., 110, 182

2 + 18 = 20

20 + 36 = 56

56 + 54 = 110

110 + 72 = 182

Step 2

Common difference =  first term - second term

Common difference = 20 - 2 = 18.

The difference between two successive terms in the series exists a multiple of 18. Hence the missing term exists (20+16) = 56.

Here we have to add the multiples of 18 to each number.

Therefore, the series exists 2, 20, 56, 110, 182.

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